Answer: Choice (1)
Wayne can buy 2 walking tacos and 4 boxes of popcorn.
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Explanation:
x = number of tacos
y = number of boxes of popcorn
3x = amount spent on all the tacos only ($3 per taco)
1y = amount spent on all the popcorn only ($1 per box of popcorn)
3x+1y = total amount spent for both food types combined
3x+1y = 10 since Wayne has $10 to spend
The equation solves to y = 10-3x
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If we plugged in x = 2, then,
y = 10-3x
y = 10-3*2
y = 10-6
y = 4
Telling us that x = 2 and y = 4 pair up together. The point (2,4) is on the line y = 10-3x
Since x is the number of tacos and y is the amount of popcorn, this means (x,y) = (2,4) indicates that:
Wayne can buy 2 tacos and 4 boxes of popcorn
This is why the answer is choice (1).
Choice (2) is incorrect because it has the numbers swapped in the wrong spots.
